1022022112100 has 72 divisors (see below), whose sum is σ = 2421259591968. Its totient is φ = 371359532800.

The previous prime is 1022022112093. The next prime is 1022022112121. The reversal of 1022022112100 is 12112202201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1082264 + ... + 1793136.

It is an arithmetic number, because the mean of its divisors is an integer number (33628605444).

Almost surely, 2^{1022022112100} is an apocalyptic number.

1022022112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022022112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210629795984).

1022022112100 is an abundant number, since it is smaller than the sum of its proper divisors (1399237479868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022022112100 is a wasteful number, since it uses less digits than its factorization.

1022022112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712205 (or 712198 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022022112100 its reverse (12112202201), we get a palindrome (1034134314301).

It can be divided in two parts, 102 and 2022112100, that added together give a palindrome (2022112202).

The spelling of 1022022112100 in words is "one trillion, twenty-two billion, twenty-two million, one hundred twelve thousand, one hundred".